Sure, let's perform the division of 3683 by 56 step by step:
1. Setup the long division:
Place 3683 (the dividend) under the division bar and 56 (the divisor) outside.
2. Determine how many times 56 goes into the first part of 3683:
- Look at the first digit 3; 56 is larger, so consider the first two digits: 36. Again, 56 is larger than 36, so we take the first three digits: 368.
- Find out how many times 56 fits into 368. This number will be part of the quotient.
3. Approximate the quotient for 368 ÷ 56:
- 56 goes into 368 about 6 times (since 56 × 6 = 336). Place 6 above the division bar in the quotient area.
4. Multiply and subtract:
- Multiply 56 by 6 which gives us 336.
- Subtract 336 from 368.
[tex]\[
368 - 336 = 32
\][/tex]
5. Bring down the next digit (3):
- Now bring down the next digit from the dividend which is 3, making the new number 323.
6. Determine how many times 56 goes into 323:
- 56 goes into 323 about 5 times (since 56 × 5 = 280). Place 5 in the quotient area.
7. Multiply and subtract:
- Multiply 56 by 5 to get 280.
- Subtract 280 from 323.
[tex]\[
323 - 280 = 43
\][/tex]
8. Combine the results:
- The quotient is 65.
- The remainder is 43.
So, when you divide 3683 by 56, you get a quotient of 65 and a remainder of 43.
